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Finding the Fourth Proportional to 3,640.42, 5,023.24 and 2,107.30

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Solution

The fourth proportional to 3,640.42, 5,023.24 and 2,107.30 is: 2,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.42 : 5,023.24 = 2,107.30 : x
  2. Step 2: Convert to fraction form
    3,640.42/5,023.24 = 2,107.30/x
  3. Step 3: Cross multiply
    3,640.42x = 5,023.24 × 2,107.30
  4. Step 4: Simplify right side
    3,640.42x = 10,585,473.65
  5. Step 5: Solve for x
    x = 10,585,473.65/3,640.42
  6. Step 6: Final answer
    x = 2,907.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.